Information on Result #712787
Linear OA(787, 198, F7, 34) (dual of [198, 111, 35]-code), using construction XX applied to C1 = C([168,28]), C2 = C([6,30]), C3 = C1 + C2 = C([6,28]), and C∩ = C1 ∩ C2 = C([168,30]) based on
- linear OA(770, 171, F7, 32) (dual of [171, 101, 33]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−3,−2,…,28}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(766, 171, F7, 25) (dual of [171, 105, 26]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {6,7,…,30}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(776, 171, F7, 34) (dual of [171, 95, 35]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−3,−2,…,30}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(760, 171, F7, 23) (dual of [171, 111, 24]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {6,7,…,28}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(710, 20, F7, 8) (dual of [20, 10, 9]-code), using
- extended quadratic residue code Qe(20,7) [i]
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(787, 99, F7, 2, 34) (dual of [(99, 2), 111, 35]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(787, 66, F7, 3, 34) (dual of [(66, 3), 111, 35]-NRT-code) | [i] | ||